Differentiability of solutions with respect to the initial data in differential equations with state-dependent delays

DOI10.1007/s10884-011-9218-1zbMath1244.34086OpenAlexW2060572971MaRDI QIDQ657757

Ferenc Hartung

Publication date: 10 January 2012

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-011-9218-1

zbMATH Keywords

delay differential equationstate-dependent delaydifferentiability with respect to parameters

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05)

Related Items (11)

Exponential stability for nonautonomous functional differential equations with state-dependent delay ⋮ Existence and uniqueness of solution for abstract differential equations with state-dependent delayed impulses ⋮ An analysis on the stability of a state dependent delay differential equation ⋮ Nonlinear variation of constants formula for differential equations with state-dependent delays ⋮ Local bifurcations in differential equations with state-dependent delay ⋮ On differentiability of solutions with respect to parameters in neutral differential equations with state-dependent delays ⋮ Existence of global attractor for a nonautonomous state-dependent delay differential equation of neuronal type ⋮ On second-order differentiability with respect to parameters for differential equations with state-dependent delays ⋮ Dynamical properties of nonautonomous functional differential equations with state-dependent delay ⋮ Existence, Uniqueness and Qualitative Properties of Global Solutions of Abstract Differential Equations with State-Dependent Delay ⋮ On numerical approximation of a delay differential equation with impulsive self-support condition

Cites Work

• Linearizing equations with state-dependent delays
• Second-order differentiability with respect to parameters for differential equations with adaptive delays
• Introduction to functional differential equations
• On differentiability of solutions with respect to parameters in state-dependent delay equations
• The solution manifold and \(C^{1}\)-smoothness for differential equations with state-dependent delay.
• Parameter estimation by quasilinearization in functional differential equations with state-dependent delays: a numerical study.
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